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A ferromagnetic insulator (FI) in contact with a superconductor (S) is knownto induce a spin splitting of the BCS density of states at the FI/S interface.This spin splitting causes the Cooper pairs to reduce their singlet-statecorrelations and acquire odd-in-frequency triplet correlations. We consider adiffusive FI/S bilayer with a sharp magnetic domain wall in the FI and studythe local quasiparticle density of states and triplet superconductingcorrelations. In the case of collinear alignment of the domains, we obtainanalytical results by solving the Usadel equation. For a small enough exchangefield or weak superconductivity, we also find an analytical expression forarbitrary magnetic textures, which reveals how the triplet component vectordepends on the local magnetization of the FI. For an arbitrary angle betweenthe magnetizations and the strength of the exchange field, we numerically solvethe problem of a sharp domain wall. We finally propose two different setupsbased on FI/S/F stacks, where F is a ferromagnetic layer, to filter out singletpairs and detect the presence of triplet correlations via tunnelingdifferential conductance measurements.

Quasiparticle density of states and triplet correlations in superconductor/ferromagnetic-insulator structures across a sharp domain wall